5.1q-3.2-5.9q=-1.8q-1.6

Solution for 5.1q-3.2-5.9q=-1.8q-1.6 equation:

Simplifying
5.1q + -3.2 + -5.9q = -1.8q + -1.6

Reorder the terms:
-3.2 + 5.1q + -5.9q = -1.8q + -1.6

Combine like terms: 5.1q + -5.9q = -0.8q
-3.2 + -0.8q = -1.8q + -1.6

Reorder the terms:
-3.2 + -0.8q = -1.6 + -1.8q

Solving
-3.2 + -0.8q = -1.6 + -1.8q

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '1.8q' to each side of the equation.
-3.2 + -0.8q + 1.8q = -1.6 + -1.8q + 1.8q

Combine like terms: -0.8q + 1.8q = 1q
-3.2 + 1q = -1.6 + -1.8q + 1.8q

Combine like terms: -1.8q + 1.8q = 0.0
-3.2 + 1q = -1.6 + 0.0
-3.2 + 1q = -1.6

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 1q = -1.6 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 1q = -1.6 + 3.2
1q = -1.6 + 3.2

Combine like terms: -1.6 + 3.2 = 1.6
1q = 1.6

Divide each side by '1'.
q = 1.6

Simplifying
q = 1.6